The increasing availability of the computer in the classroom has created a need for informed and creative instructional software. Two areas of cognitive research in mathematics and science learning have implications to instruction and, consequently, to educational software design. These are research on misconceptions and on differences between…

The study was designed to determine the effectiveness of an accelerated eighth-grade algebra program offered in the Bryan Independent School District since 1975. The major questions posed were: Have pupils been successful as eighth graders and in subsequent high school mathematics courses? (2) Have students been electing upper-level mathematics…

This paper deals with the question of how teacher attitudes emerge as teacher behaviors and the relationships between teacher attitudes toward mathematics, teaching, and students, and teacher behaviors as measured by external observers and pupils. Forty-nine ninth-grade mathematics teachers were the subject of this research. It was observed that…

Intended for use as a part of the adult basic education teaching/learning management system called CUBE (Continuity and Unity in Basic Education), these instructional materials consist of a math placement inventory, guide sheets, mastery tests, and eight sections of learning activities covering areas of basic mathematics. Topics addressed in the…

This course, offered in the Option Y sequence of the high school mathematics program described in the Department of Education's Mathematics Program Guide, is designed to be less theoretical and more applications oriented than Algebra IA and IB. There are ten learner objectives for this course, which is designed along with Core Algebra to fulfill…

The aim of this project was to develop a curriculum for first-year algebra students to provide a wide range of applications of mathematics. This type of application would permit students to understand how algebraic symbolism develops out of natural needs. A pilot draft of the materials was field-tested during the 1974-75 school year, revised, and…

This is part two of a two-part SMSG text for grade eight students whose mathematical talents are underdeveloped. The reading level of this text has been adjusted downward, chapters shortened, and additional concrete examples included. Nevertheless, the authors warn that the text may not be appropriate for the very slow non-college-bound student.…

REPORTED ARE THE TENTATIVE VIEWS OF A GROUP OF MATHEMATICIANS ON THE CONTENT OF A PRE-COLLEGE MATHEMATICS CURRICULUM THAT MIGHT CONCEIVABLY REPRESENT THE TYPE OF PROGRAM WHICH WILL BE OPERATING IN A FEW DECADES. THE COMMITTEE PRESENTS ITS VIEWS, NOT AS A CURRICULUM GUIDE FOR ADMINISTRATORS AND MATHEMATICS EDUCATORS, BUT AS A BASIS FOR DISCUSSION,…

THE QUESTION OF PRIMARY CONCERN IN FOUR STUDIES WAS IMMEDIATE FEEDBACK IN ADJUNCT AUTOINSTRUCTIONAL EXERCISES (LEARNING EXERCISES DEFINED AS THOSE DESIGNED TO TAKE ADVANTAGE OF THE STRUCTURE INHERENT IN SUBJECT MATTER). IN A CONTROLLED SITUATION, DIFFERENT FEEDBACK DELAYS (IMMEDIATE, 1-HOUR DELAY, 2-DAY DELAY, AND 1-WEEK DELAY) WERE TESTED. OTHER…

This study investigated the impact of a student-tutor and parent interaction program on the achievement scores of ninth- and tenth-grade Algebra 1 and general biology classes. Past studies have shown that student-parent interaction in academic areas can produce significant increases in achievement scores. There is, however, very little evidence of…

This document provides teaching guidelines and student material for a unit intended for use in 12th grade algebra classes. Time allotment is from four to six hours of classroom time. The objective of this capsule is to teach students how to solve compound interest problems using arithmetic, logorithms, and calculators. Prerequisites for the unit…

A two-part communication model for teaching elementary mathematics is proposed. Part I delineates symbols commonly used in teaching arithmetic. Parts of mathematical language (mathematical objects, relations, operations, expressions, and sentences) are compared to analogous parts of the English language. Part 2 is a conceptualization of strategies…

A set of 11 teacher-prepared Learning Activity Packages (LAPs) in beginning algebra, these units cover sets, properties of operations, operations over real numbers, open expressions, solution sets of equations and inequalities, equations and inequalities with two variables, solution sets of equations with two variables, exponents, factoring and…

Methods of instruction and organization are discussed in the first chapter, including critiques of the Winnetka plan and the Dalton plan. The next author argues that algebra is a method of thinking and explains some mental processes involved. The following three chapters are concerned with the functional concept. Using function as a unifying…

Mastery learning is an approach to learning whereby students are expected to demonstrate competence of one level, or unit, of learning objectives before advancing to the next level. Most junior college instruction is group-paced, with the instructor determining the rate with which units are presented. One compromise between existing instruction…